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Kurepa Hypothesis Vanishing levels Forcing Knaster and friends Rock n' Roll Strongly compact cardinal Foundations Precaliber SNR positive partition relation stationary reflection Jonsson cardinal Reflecting stationary set tensor product graph C-sequence square principles Microscopic Approach Partition Relations Hedetniemi's conjecture weak diamond Distributive tree diamond star Antichain Square-Brackets Partition Relations Well-behaved magma incompactness club_AD Greatly Mahlo Ascent Path Uniformly homogeneous sap stationary hitting Sierpinski's onto mapping principle Universal Sequences L-space ccc indecomposable filter O-space Axiom R Rainbow sets Fodor-type reflection higher Baire space Knaster approachability ideal Cardinal function free Boolean algebra Singular Density Forcing with side conditions Interval topology on trees 54G20 b-scale strongly bounded groups Singular cofinality countably metacompact square Diamond for trees unbounded function Was Ulam right? Entangled linear order Strongly Luzin set Fat stationary set Almost countably chromatic stick Coherent tree Dowker space Countryman line Slim tree Diamond-sharp Generalized Clubs Parameterized proxy principle Hereditarily Lindelöf space Lipschitz reduction Almost-disjoint family Weakly compact cardinal Chromatic number Amenable C-sequence Sakurai's Bell inequality HOD Absoluteness S-Space Ulam matrix Large Cardinals P-Ideal Dichotomy Ostaszewski square Martin's Axiom Partition relations for trees weak Kurepa tree weak square Subtle cardinal PFA(S)[S] free Souslin tree Nonspecial tree Diamond AIM forcing coloring number Local Club Condensation. nonmeager set Subnormal ideal Fast club Hindman's Theorem Small forcing Filter reflection Almost Souslin Commutative cancellative semigroups Whitehead Problem middle diamond Poset Subtle tree property super-Souslin tree regressive Souslin tree Respecting tree Souslin Tree full tree Open Access Chang's conjecture Successor of Singular Cardinal Iterated forcing Uniformization Mandelbrot set Erdos-Hajnal graphs Analytic sets very good scale Dushnik-Miller Generalized descriptive set theory Sigma-Prikry Uniformly coherent Club Guessing Strong coloring Postprocessing function projective Boolean algebra Cardinal Invariants GMA Shelah's Strong Hypothesis reflection principles OCA Commutative projection system Non-saturation Subadditive Prikry-type forcing Successor of Regular Cardinal Rado's conjecture ZFC construction specializable Souslin tree PFA Ascending path Monotonically far Prevalent singular cardinals Minimal Walks perfectly normal Singular cardinals combinatorics Aronszajn tree Intersection model polarized partition relation Erdos Cardinal Reduced Power Closed coloring Constructible Universe Cohen real Forcing Axioms xbox Ramsey theory over partitions Luzin set Ineffable cardinal transformations Selective Ultrafilter
Tag Archives: Singular Density
On topological spaces of singular density and minimal weight
Abstract: We introduce a weakening of the Generalized Continuum Hypothesis, which we will refer to as the Prevalent Singular cardinals Hypothesis (PSH), and show it implies that every topological space of density and weight $\aleph_{\omega_1}$ is not hereditarily Lindelöf. The assumption … Continue reading
Workshop on Set Theory and its Applications, February 2007
These are the slides of a talk given at the Workshop on Set Theory and its Applications workshop (Weizmann Institute, February 19, 2007). Talk Title: Nets of spaces having singular density Abstract: The weight of a topological space X is the … Continue reading
On the consistency strength of the Milner-Sauer conjecture
Abstract: In their paper from 1981, Milner and Sauer conjectured that for any poset $\mathbb P$, if $\text{cf}(\mathbb P)$ is a singular cardinal $\lambda$, then $\mathbb P$ must contain an antichain of size $\text{cf}(\lambda)$. The conjecture is consistent and known … Continue reading
